A jar contains 10 red marbles, 5 blue marbles, and 15 yellow marbles. All marbles are of the same shape and size and are equally likely to get picked. Find the probability of drawing a blue marble and then drawing a yellow marble randomly. A. 15/58 B. 5/29 C. 5/58 D. 15/29

Seamus Livingston

Seamus Livingston

Answered question

2023-02-02

A jar contains 10 red marbles, 5 blue marbles, and 15 yellow marbles. All marbles are of the same shape and size and are equally likely to get picked. Find the probability of drawing a blue marble and then drawing a yellow marble randomly. A. 15 58 B. 5 29 C. 5 58 D. 15 29

Answer & Explanation

Amaqumrhund1

Amaqumrhund1

Beginner2023-02-03Added 9 answers

Given, Number of red marbles =10
Number of blue marbles =5
Number of yellow marbles =15
Total number of marbles =10+5+15=30
There are initially 30 marbles, and one marble is chosen.
The first marble chosen is now taken out. The sample space now has fewer elements than before, by 1.
So number of marbles left in the jar =30−1=29
Total number of possible outcomes for picking two marbles one after the other (the marble picked first is removed) = 30 × 29 = 870
Number of ways in which a blue marble is picked first and then a yellow marble = 5 × 15 = 75
This is the number of favorable outcomes.
So, the probability of drawing a blue marble and then drawing a yellow marble = number of favorable outcomes total number of outcomes = 75 870 = 5 58

wabennestvzz

wabennestvzz

Beginner2023-02-04Added 2 answers

good one

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